逆拟变分不等式的扰动Levitin-Polyak适定性  

Levitin-Polyak Wellposedness by Perturbations of Inverse Quasi-variational Inequalities

作　　者：廖梦玲 夏福全[1] LIAO Mengling;XIA Fuquan(College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan)

机构地区：[1]四川师范大学数学与软件科学学院,四川成都610066

出　　处：《四川师范大学学报（自然科学版）》2018年第3期324-330,共7页Journal of Sichuan Normal University（Natural Science）

基　　金：教育部科学技术重点项目(212147)

摘　　要：主要研究逆拟变分不等式的扰动Levitin-Polyak适定性.首先定义逆拟变分不等式的近似序列和Levitin-Polyak近似序列,然后定义逆拟变分不等式的近似解集,利用该解集讨论并得到逆拟变分不等式的扰动Levitin-Polyak-α-适定性的度量性质.The purpose of this paper is to investigate Levitin-Polyak type well-posedness for inverse quasi-variational inequalities.We frist introduce the notion of approximating sequence and Levitin-Polyak approximating sequence of inverse quasi-variational inequalities. Then we introduce the approximating solution set of inverse quasi-variational inequalities and establish metric characterizations of Levitin-Polyak α-well-posedness by perturbations through the approximating solution set.

关 键 词：逆拟变分不等式 扰动Levitin-Polyak适定性 近似解集 

分 类 号：O176[理学—数学] O178[理学—基础数学]